Duality and Fibrations on G2 Manifolds

Authors : Sergei Gukov

Pages : 61-98

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :We argue that G2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M-five-brane fibers as target space. Mirror symmetry and various string and M-theory dualities involving G2 manifolds may be incorporated into this framework. To give some examples, we construct two non-compact manifolds with G2 structures: one with a K3 fibration, and one with a torus fibration and a metric of G2 holonomy. Kaluza-Klein reduction of the latter solution gives abelian BPS monopoles in 3 + 1 dimensions.
Keywords : Turk. J. Math., 27, (2003), 61-98. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.